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variants of this functions
EllipticTheta






Mathematica Notation

Traditional Notation









Elliptic Functions > EllipticTheta[3,z,q] > Series representations > q-series > Other q-series representations





http://functions.wolfram.com/09.03.06.0016.01









  


  










Input Form





EllipticThetaPrime[1, 0, q]/(2 EllipticTheta[3, z, q]) == Sum[(-1)^(k - 1) q^(k - 1/2)^2 ((1 - q^(4 k - 2))/ (1 + 2 q^(2 k - 1) Cos[2 z] + q^(4 k - 2))), {k, 1, Infinity}] /; Abs[Im[z]] < (1/2) Im[\[Tau]] && q == E^(I Pi \[Tau])










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29